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RMS Voltage Calculator

Convert sine wave peak voltage to RMS voltage

Peak voltage Vpeak (V)

RMS Voltage Formula

Vrms = Vpeak / sqrt(2)
Vpp = 2 Vpeak

RMS voltage gives the equivalent DC value for power heating in a resistor. For a pure sine wave, divide peak voltage by square root of 2.

This formula assumes a sinusoidal waveform. Other waveforms need different RMS relationships.

What Is RMS Voltage?

RMS voltage is the effective voltage of an AC waveform. It is the value used for comparing AC power to equivalent DC power.

Effective Value

RMS relates directly to heating power.

Sine Wave Rule

Vrms equals peak divided by sqrt(2).

Peak-to-Peak

Vpp is twice the peak amplitude.

Measurement Use

Meters often display RMS for AC signals.

Example: For Vpeak = 10 V, Vrms = 10 / sqrt(2) = 7.071 V and Vpp = 20 V.

Applications of RMS Voltage

AC Power Oscilloscopes Audio Signals Power Calculations Electrical Measurement

Frequently Asked Questions

What is an RMS voltage calculator?
It converts sine wave peak voltage into RMS voltage, which represents equivalent DC heating value.
What is the RMS voltage formula?
For a sine wave, Vrms = Vpeak / sqrt(2).
How do I use this Vrms calculator?
Enter the peak voltage and calculate. The tool returns RMS voltage and peak-to-peak voltage.
Is RMS voltage the same as average voltage?
No. RMS is based on square root of mean square value, while average voltage is a different waveform measure.
Where is RMS voltage used?
It is used in AC power, oscilloscopes, audio signals, electrical measurements, and power calculations.

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